Yes, she will receive her own Priority Pass card. Each card admits the holder plus two guests without any possibility of a fee. If you don't want to risk the possibility of fees for the other two guest children ask Citi if you can order another Authorized User card for one of the older children, and verify that it would include another Priority Pass card. You don't need to give the child the physical credit card if that doesn't suit you, you just need to get the Priority Pass.